Existence of a solution to the inhomogeneous equation with the one-dimensional Schrödinger operator in the space of quickly decreasing functions

2012 ◽  
Vol 187 (1) ◽  
pp. 70-76 ◽  
Author(s):  
Valerii Samoylenko ◽  
Yuliya Samoylenko
Keyword(s):  
Schrödinger Operator ◽  
Inhomogeneous Equation ◽  
Schrodinger Operator ◽  
Existence Of A Solution ◽  
One Dimensional ◽  
The One ◽  
Decreasing Functions

scholarly journals On the spectral properties of the Schrödinger operator with a periodic PT-symmetric potential

2017 ◽  
Vol 14 (05) ◽  
pp. 1750065 ◽  
Author(s):  
Oktay Veliev
Keyword(s):  
Schrödinger Operator ◽  
Spectral Properties ◽  
Schrodinger Operator ◽  
Symmetric Potential ◽  
One Dimensional ◽  
Symmetric Complex ◽  
The One ◽  
Complex Valued

In this paper, we investigate the spectrum and spectrality of the one-dimensional Schrödinger operator with a periodic PT-symmetric complex-valued potential.

The one-dimensional Schrödinger operator with point δ- and δ-interactions

2008 ◽  
Vol 84 (1-2) ◽  
pp. 125-129 ◽  
Author(s):  
N. I. Goloshchapova ◽  
L. L. Oridoroga
Keyword(s):  
Schrödinger Operator ◽  
Schrodinger Operator ◽  
One Dimensional ◽  
The One
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